Integration of the greatest integer function #2

Calculus Level 3

∫ 0 π ⌊ x ⌋ d x = ? \large \int\limits_0^{\pi} \left\lfloor x\right\rfloor \, dx = \ ?

Submit your answer to 3 decimal places.


The answer is 3.425.

Khang Nguyen Thanh by Khang Nguyen Thanh , 27, Vietnam

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2 solutions

Raj Rajput
Aug 21, 2015

1 Helpful 1 Interesting 0 Brilliant 0 Confused
Akash Singh
Aug 21, 2015

area under graph

0 to 1 = 0 , 1 to 2 = 1 , 2 to 3 = 2 , 3 to pi = 3(pi-3)

tatol area = 3.425

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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